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arXiv:1205.4523 [math.AP]AbstractReferencesReviewsResources

Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions

Aníbal Rodríguez-Bernal, Alejandro Vidal-López

Published 2012-05-21Version 1

We construct solutions of nonlinear reaction-diffusion equations with nonlinear boundary conditions in spaces where the problem is supercritical and show the nonlinear balance required between the nonlinear terms in order to obtain a dissipative system. Assuming this balance, the dynamics of the solutions is the same that take place in subcritical spaces.

Categories: math.AP
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